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Intuitionistic fuzzy sets (Atanassov, 1986) carry membership \(\mu\), non-membership \(\nu\) (\(\mu+\nu\le 1\)) and hesitation \(\pi=1-\mu-\nu\). IFFuzzyStats is a zero-dependency (base-R only) toolkit covering:
ifv() constructor + if_add(),
if_mul(), if_scalar_mul(),
if_pow() (Xu arithmetic) and Einstein variantsifwa(), ifwg(),
ifowa(), ifowg(), ifha(),
ifhg(), if_einstein_wa(),
if_einstein_wg()if_entropy() (Burillo, Szmidt-Kacprzyk,
Vlachos-Sergiadis, Zeng-Li)if_dist() (Hamming, Euclidean, Hausdorff, Ye,
Ye-cosine, Park)if_sim() (Chen, Hong-Kim, Ye
cosine/weighted, Jaccard/Deng, Dice)if_compose(), if_infer(),
if_rule_block()ifcmeans(), ifkmeans()if_topsis(), if_rank(),
if_rank_df()if_fuzzify(), if_defuzzify(),
if_score()# from local source
install.packages("/path/to/IFFuzzyStats_0.1.0.tar.gz", repos = NULL, type = "source")library(IFFuzzyStats)
x <- ifv(c(0.6, 0.5, 0.7), c(0.3, 0.2, 0.1))
ifwa(x, c(0.5, 0.3, 0.2))
if_entropy(x, "szmidt")
if_sim(x, ifv(c(0.5, 0.4, 0.6), c(0.3, 0.3, 0.2)), "ye_cosine")Atanassov (1986) Fuzzy Sets and Systems 20(1); Xu (2007) IEEE TFS 15(6); Szmidt & Kacprzyk (2000) FSS 114(3); Vlachos & Sergiadis (2007) PRL 28(2); Ye (2011) MCM 53(1-2); Boran et al. (2009) ESWA 36(8).
These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.